L. Yu. Kolotilina

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All published works

Action	Title	Year	Authors
+	Upper Bounds for $${\Vert {A}^{-1}\Vert }_{\infty }$$ for Some Eventually $$\mathcal{H}$$-Matrices	2024	L. Yu. Kolotilina
+	Upper Bounds for the Spectral Radius of a PF Matrix	2024	L. Yu. Kolotilina
+ PDF Chat	On SDD1 Matrices	2023	L. Yu. Kolotilina
+	New Two-Sided Bounds for the Perron Root and Related Nonsingularity Criteria	2021	L. Yu. Kolotilina
+	Some Bounds for Inverses Involving Matrix Sparsity Pattern	2020	L. Yu. Kolotilina
+	A New Subclass of the Class of Nonsingular $$ \mathcal{H} $$-Matrices and Related Inclusion Sets for Eigenvalues and Singular Values	2019	L. Yu. Kolotilina
+	An Approach to Bounding the Spectral Radius of a Weighted Digraph	2018	L. Yu. Kolotilina
+	Bounds for the Inverses of Generalized Nekrasov Matrices	2015	L. Yu. Kolotilina
+	Bounds for the Determinants of Nekrasov and S-Nekrasov Matrices	2015	L. Yu. Kolotilina
+ PDF Chat	Some Inequalities Connecting the Singular Values of a Complex Matrix with the Perron Roots of Related Nonnegative Matrices	2014	L. Yu. Kolotilina
+	On Bounding Inverses to Nekrasov Matrices in the Infinity Norm	2014	L. Yu. Kolotilina
+ PDF Chat	Bounds for the Largest Two Eigenvalues of the Signless Laplacian	2014	L. Yu. Kolotilina
+	Upper bounds for the second largest eigenvalue of symmetric nonnegative matrices	2013	L. Yu. Kolotilina
+	New circuit bounds for the Perron root of a nonnegative matrix	2012	L. Yu. Kolotilina
+ PDF Chat	Bounds for the extreme eigenvalues of the laplacian and signless laplacian of a graph	2012	L. Yu. Kolotilina
+	Inequalities for the extreme eigenvalues of block-partitioned Hermitian matrices with applications to spectral graph theory	2011	L. Yu. Kolotilina
+ PDF Chat	On determinantal diagonal dominance conditions	2011	L. Yu. Kolotilina
+ PDF Chat	On Ostrowski’s disk theorem and lower bounds for the smallest eigenvalues and singular values	2011	L. Yu. Kolotilina
+	Bounds for the inverses of PM- and PH-matrices	2010	L. Yu. Kolotilina
+	Inclusion sets for the singular values of a rectangular matrix	2009	L. Yu. Kolotilina
+ PDF Chat	Inclusion sets for the singular values of a square matrix	2009	L. Yu. Kolotilina
+ PDF Chat	Improving Chistyakov's bounds for the Perron root of a nonnegative matrix	2009	L. Yu. Kolotilina
+	Bounds for the infinity norm of the inverse for certain M- and H-matrices	2008	L. Yu. Kolotilina
+	Bounds for the determinants and inverses of certain H-matrices	2008	L. Yu. Kolotilina
+ PDF Chat	Improving Chistyakov’s bounds for the Perron root of a nonnegative matrix	2008	L. Yu. Kolotilina
+ PDF Chat	The generalized monotonicity property of the Perron root	2007	Yu. A. Al’pin L. Yu. Kolotilina
+	Joint bounds for the Perron roots of nonnegative matrices with applications	2007	Yu. A. Al’pin L. Yu. Kolotilina N. N. Korneeva
+ PDF Chat	Filling the gap between the Gerschgorin and Brualdi theorems	2007	L. Yu. Kolotilina
+	Bounds for the singular values of a matrix involving its sparsity pattern	2006	L. Yu. Kolotilina
+ PDF Chat	Bounds and inequalities for the Perron root of a nonnegative matrix. III. Bounds dependent on simple paths and circuits	2006	L. Yu. Kolotilina
+	The Singularity/Nonsingularity Problem for Matrices Satisfying Diagonal Dominance Conditions in Terms of Directed Graphs	2005	L. Yu. Kolotilina
+	Solution of the Problem of Optimal Diagonal Scaling for Quasireal Hermitian Positive-Definite 3×3 Matrices	2005	L. Yu. Kolotilina
+ PDF Chat	Bounds for the Extreme Eigenvalues of Block 2 × 2 Hermitian Matrices	2005	L. Yu. Kolotilina
+	Bounds for the eigenvalues of block 2 × 2 Hermitian positive‐definite matrices	2005	L. Yu. Kolotilina
+ PDF Chat	On the extreme eigenvalues of block 2 × 2 Hermitian matrices	2005	L. Yu. Kolotilina
+ PDF Chat	The strengthened versions of the additive and multiplicative Weyl inequalities	2005	L. Yu. Kolotilina
+ PDF Chat	On Brualdi's Theorem	2004	L. Yu. Kolotilina
+ PDF Chat	Bounds and Inequalities for the Perron Root of a Nonnegative Matrix	2004	L. Yu. Kolotilina
+	Generalizations of the Ostrowski–Brauer theorem	2003	L. Yu. Kolotilina
+	None	2003	L. Yu. Kolotilina
+ PDF Chat	None	2003	L. Yu. Kolotilina
+ PDF Chat	None	2003	L. Yu. Kolotilina
+	Nonsingularity/singularity criteria for nonstrictly block diagonally dominant matrices	2002	L. Yu. Kolotilina
+	Optimally conditioned block matrices	2002	L. Yu. Kolotilina
+ PDF Chat	A robust AINV-type method for constructing sparse approximate inverse preconditioners in factored form	2001	С. А. Харченко L. Yu. Kolotilina A. A. Nikishin A. Yu. Yeremin
+ PDF Chat	Factorized sparse approximate inverse preconditionings. III. Iterative construction of preconditioners	2000	A. Yu. Yeremin L. Yu. Kolotilina A. A. Nikishin
+ PDF Chat	A generalization of weyl’s inequalities with implications	2000	L. Yu. Kolotilina
+	Inequalities for the Perron root related to Levinger's theorem	1998	Yu. A. Al’pin L. Yu. Kolotilina
+	Interrelations between eigenvalues and diagonal entries of Hermitian matrices implying their block diagonality	1998	L. Yu. Kolotilina
+ PDF Chat	Twofold deflation preconditioning of linear algebraic systems. I. Theory	1998	L. Yu. Kolotilina
+	Eigenvalue bounds and inequalities using vector aggregation of matrices	1998	L. Yu. Kolotilina
+	Eigenvalue bounds and inequalities using vector aggregation of matrices	1998	L. Yu. Kolotilina
+	Eigenvalue bounds for block preconditioned matrices	1997	L. Yu. Kolotilina
+ PDF Chat	Convergence of certain incomplete block factorization splittings	1997	L. Yu. Kolotilina
+	Bounds for eigenvalues of symmetric block Jacobi scaled matrices	1996	L. Yu. Kolotilina
+ PDF Chat	The sparsity of Bruhat decomposition factors of nonsingular matrices	1996	L. Yu. Kolotilina
+	Two-sided bounds for the inverse of an H-matrix	1995	L. Yu. Kolotilina
+	Lower bounds for the perron root of a nonnegative matrix	1993	L. Yu. Kolotilina
+	Factorized Sparse Approximate Inverse Preconditionings I. Theory	1993	L. Yu. Kolotilina A. Yu. Yeremin
+	Block SSOR preconditionings for high-order 3D FE systems. II. Incomplete BSSOR preconditionings	1991	Igor Kaporin L. Yu. Kolotilina A. Yu. Yeremin
+	Monotonicity and Discretization Error Estimates	1990	Owe Axelsson L. Yu. Kolotilina
+	Incomplete block factorization methods for complex-structure matrices	1989	Andrew Eremin L. Yu. Kolotilina
+ PDF Chat	Explicit preconditioning of systems of linear algebraic equations with dense matrices	1988	L. Yu. Kolotilina
+	Bruhat decomposition and solution of sparse linear algebraic systems	1987	L. Yu. Kolotilina A. Yu. Yeremin
+	On a family of two-level preconditionings of the incomplete block factorization type	1986	L. Yu. Kolotilina A. Yu. Yeremin
+	Normalizer of the subgroup of diagonal matrices in the general linear group over a ring	1985	L. Yu. Kolotilina
+	Aplication of net subgroups to the theory of sparse matrices	1985	L. Yu. Kolotilina
+ PDF Chat	Subnormalizer of net subgroups in the general linear group over a ring	1984	Z. I. Borevich L. Yu. Kolotilina
+	Subgroups in T-groups	1984	P. V. Gavron L. Yu. Kolotilina
+ PDF Chat	A class of test Hessenberg matrices	1984	L. Yu. Kolotilina
+	Normal structure of the full linear group over a semilocal ring	1982	N. A. Vavilov L. Yu. Kolotilina
+	Conjugacy of net subgroups of linear groups	1981	Z. I. Borevich E. V. Dybkova L. Yu. Kolotilina

Common Coauthors

Coauthor	Papers Together
A. Yu. Yeremin	6
Yu. A. Al’pin	3
Z. I. Borevich	2
A. A. Nikishin	2
E. V. Dybkova	1
Owe Axelsson	1
Igor Kaporin	1
N. A. Vavilov	1
Andrew Eremin	1
N. N. Korneeva	1
С. А. Харченко	1
P. V. Gavron	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	�ber die determinanten mit �berwiegender Hauptdiagonale	1937	Alexander Ostrowski	21
+ PDF Chat	Bounds and Inequalities for the Perron Root of a Nonnegative Matrix	2004	L. Yu. Kolotilina	10
+	Geršgorin and His Circles	2004	Richard S. Varga	10
+	A lower bound for the smallest singular value of a matrix	1975	J. M. Varah	8
+	Generalizations of the Ostrowski–Brauer theorem	2003	L. Yu. Kolotilina	8
+	Blocs-H-matrices et convergence des methodes iteratives classiques par blocs	1969	François Robert	8
+	Matrices eigenvalues, and directed graphs	1982	Richard A. Brualdi	7
+	Convergence Properties of the Spline Fit	1963	J. H. Ahlberg E. N. Nilson	6
+	Criteria for generalized diagonally dominant matrices and M-matrices	1992	Yiming Gao Xiaohui Wang	6
+	Bounds for the Perron root of a nonnegative matrix involving the properties of its graph	1995	Yu. A. Al’pin	6
+	Nonsingularity/singularity criteria for nonstrictly block diagonally dominant matrices	2002	L. Yu. Kolotilina	6
+	Bounds for the determinants and inverses of certain H-matrices	2008	L. Yu. Kolotilina	5
+	Upper bounds for the infinity norm of the inverse of SDD and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.gif" overflow="scroll"><mml:mi mathvariant="script">S</mml:mi></mml:math>-SDD matrices	2006	Nenad Morača	5
+ PDF Chat	Cyclic products and an inequality for determinants	1969	Miroslav Fiedler Vlastimil Pták	5
+	Optimal block diagonal scaling of block 2-cyclic matrices	1982	Stanley C. Eisenstat John W. Lewis Martin H. Schultz	5
+	Bounds for the greatest characteristic root of an irreducible nonnegative matrix	1974	Alfred Brauer Ivey C. Gentry	4
+	The Symmetric Eigenvalue Problem	1998	Beresford Ν. Parlett	4
+	On some metrical properties of operator matrices and matrices partitioned into blocks	1961	Alexander Ostrowski	4
+	The Singularity/Nonsingularity Problem for Matrices Satisfying Diagonal Dominance Conditions in Terms of Directed Graphs	2005	L. Yu. Kolotilina	4
+ PDF Chat	Improving Chistyakov's bounds for the Perron root of a nonnegative matrix	2009	L. Yu. Kolotilina	4
+ PDF Chat	None	2003	L. Yu. Kolotilina	4
+	Eigenvalue bounds and inequalities using vector aggregation of matrices	1998	L. Yu. Kolotilina	4
+ PDF Chat	Bounds for determinants with dominant principal diagonal	1951	G. Baley Price	3
+	On conjectures involving second largest signless Laplacian eigenvalue of graphs	2010	Kinkar Ch. Das	3
+	A Recurring Theorem on Determinants	1949	Olga Taussky	3
+	Factorizations of Transfer Functions	1980	Harm Bart Israel Gohberg M. A. Kaashoek Paul Van Dooren	3
+	The condition number of equivalence transformations that block diagonalize matrix pencils	1983	James Demmel	3
+	A note on A. Brauer's theorem	1994	Zhang Xian Gu Dun-he	3
+	A Recurring Theorem on Determinants	1949	Olga Taussky	3
+	A new subclass of H-matrices	2008	Ljiljana Cvetković Vladimir Kostić Sonja Rauški	3
+ PDF Chat	Infinity norm bounds for the inverse of Nekrasov matrices	2012	Ljiljana Cvetković Ping-Fan Dai Ksenija Doroslovački Yaotang Li	3
+	Short Communication: Two Properties of Diagonally Dominant Matrices	1996	Xuerong Yong	3
+	Sur La Détermination Des Bornes Inférieures Pour Une Classe Des Déterminants;	1983	Alexander Ostrowski	3
+	Doubly diagonally dominant matrices	1997	Bishan Li Michael J. Tsatsomeros	3
+	The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils	1983	James Demmel	3
+ PDF Chat	On best conditioned matrices	1955	George E. Forsythe E. G. Straus	3
+ PDF Chat	On the extreme eigenvalues of block 2 × 2 Hermitian matrices	2005	L. Yu. Kolotilina	3
+ PDF Chat	A GENERALIZED CONJUGATE GRADIENT METHOD FOR THE NUMERICAL SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS	1976	Paul Concus Gene H. Golub Dianne P. O’Leary	3
+	Commutativity and spectra of Hermitian matrices	1994	Wasin So	3
+	On diagonal dominance arguments for bounding ‖A-1‖∞	1976	Richard S. Varga	3
+	Further lower bounds for the smallest singular value	1998	Charles R. Johnson Tomasz Szulc	3
+	Factorized Sparse Approximate Inverse Preconditionings I. Theory	1993	L. Yu. Kolotilina A. Yu. Yeremin	3
+ PDF Chat	A note on optimal block-scaling of matrices	1984	L. Elsner	3
+	An inequality for non-negative matrices	1999	Ming‐Wei Wang Jeffrey Shallit	3
+	Some monotonicity properties of Schur powers of matrices and related inequalities	1985	Samuel Karlin Friedemann Ost	2
+	Digraphs and Inclusion Intervals of Brualdi-type for Singular Values	2002	Jiong-Sheng Li Kai Yang Qing-xue Wang	2
+	The Monotonicity Theorem, Cauchy's Interlace Theorem, and the Courant- Fischer Theorem	1987	Yasuhiko Ikebe Toshiyuki Inagaki Sadaaki Miyamoto	2
+ PDF Chat	The perron root of a weighted geometric mean of nonneagative matrices	1988	L. Elsner Charles R. Johnson J. A. Dias Da Silva	2
+	Estimation for matrix singular values	1999	Luoluo Li	2
+	Unzerlegbare, nicht negative Matrizen	1950	Helmut Wielandt	2